5d-2g=9: g solve for g. the final answer has to start with g=
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The equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100
<h3>How to determine the legs of the triangle?</h3>The complete question is in the attached image
The given parameters are:
Area = 24
Legs = x and x + 2
The area of the triangle is calculated as:
Area = 0.5 * Base * Height
This gives
0.5 * x * (x + 2) = 24
So, we have:
0.5(x)(x + 2) = 24
Divide through by 0.5
(x)(x + 2) = 48
Expand
x^2 + 2x = 48
Subtract 48 from both side
x^2 + 2x - 48 = 0
Hence, the equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100
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Answer:
Part 1)
Par 2) see the explanation
Part 3)
Step-by-step explanation:
Part 1) Write an equation in slope intercept form to represent this problem
Let
x ----> the number of tickets
y ---> the total cost
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept (one-time processing fee)
In this problem we have
ordered pairs (4,141.95) and (7,239.45)
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values in the formula
substitute the values in the linear equation
Part 2) What does your slope represent in this problem? What does your y-intercept represent in this problem?
a) The slope of the linear equation represent the unit rate, so the slope represents the cost of one ticket
b) The y-intercept is the value of y when the value of x is equal to zero
In this context, the y-intercept represent the one-time processing fee
Part 3) Use the equation to find how much Alan would have to pay for 12 tickets
For x=12 tickets
substitute in the linear equation